[EN] Motivated by the well known Kadec-Pelczynski disjointifcation theorem, we undertake
an analysis of the supports of non-zero functions in strongly embedded subspaces of
Banach functions spaces. The main aim is to ...
Let X(mu) be a Banach function space. In this paper we introduce two new geometric notions, q-convexity and weak q-convexity associated to a subset S of the unit ball of the dual of X(mu), 1 = q < 8. We prove that in the ...
[EN] An explicit construction for the representation of the Calderón interpolation of spaces of vector measure integrable functions is given as well as for the representation of the real interpolation of these spaces using ...
[EN] We study the equivalence between the Orlicz and Luxemburg (quasi-) norms in the context of the generalized Orlicz spaces associated to an N-function Phi and a (quasi-) Banach function space X over a positive finite ...